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Keldysh Institute preprints, 2013, 039, 23 pp. (Mi ipmp1789)  

This article is cited in 5 scientific papers (total in 5 papers)

Quaternion algebra in rigid body kinematics

Yu. F. Golubev


Abstract: The laconic substantiation of the description for isometries of the three dimensional Euclidean space by means of quaternions is presented. Methods for calculation of quaternions directly on giving image and object of rigid body points during its motion are developed. The set of quaternions corresponding to regular precessions is picked out. Features of kinematics equations for quaternions are analyzed. Some theoretical developments are illustrated by specific examples.

Keywords: kinematics, quaternion, kinematic equations, regular precession.

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Citation: Yu. F. Golubev, “Quaternion algebra in rigid body kinematics”, Keldysh Institute preprints, 2013, 039, 23 pp.

Citation in format AMSBIB
\Bibitem{Gol13}
\by Yu.~F.~Golubev
\paper Quaternion algebra in rigid body kinematics
\jour Keldysh Institute preprints
\yr 2013
\papernumber 039
\totalpages 23
\mathnet{http://mi.mathnet.ru/ipmp1789}


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  • http://mi.mathnet.ru/eng/ipmp/y2013/p39

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Yu. F. Golubev, “Funktsiya Appelya v dinamike sistem tverdykh tel”, Preprinty IPM im. M. V. Keldysha, 2014, 058, 16 pp.  mathnet
    2. E. A. Mityushov, N. E. Misyura, S. A. Berestova, “Plavnoe peremeschenie tverdogo tela v prostranstve orientatsii po kratchaishei traektorii cherez uzly odnorodnoi reshetki na gruppe $SO(3)$”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 27:1 (2017), 138–145  mathnet  crossref  elib
    3. A. K. Platonov, “RVA-operatory dlya resheniya zadach postroeniya vektornykh ob'ektov”, Preprinty IPM im. M. V. Keldysha, 2017, 022, 36 pp.  mathnet  crossref
    4. E. A. Mityushov, N. E. Misyura, S. A. Berestova, “Optimalnaya stabilizatsiya kosmicheskogo apparata v inertsialnoi sisteme koordinat na baze besplatformennoi inertsialnoi navigatsionnoi sistemy”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 28:2 (2018), 252–259  mathnet  crossref  elib
    5. E. A. Mityushov, N. E. Misyura, S. A. Berestova, “Kvaternionnaya model programmnogo upravleniya dvizheniem shara Chaplygina”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 29:3 (2019), 408–421  mathnet  crossref
  • Препринты Института прикладной математики им. М. В. Келдыша РАН
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